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JEE MATHEMATICS MCQ: LIMITS

1 Easy
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Application +4 | -1
Let L=lim⁡n→∞1n3∑k=1nk2eknL=\lim \limits_{{n \rightarrow \infty}} \frac{1}{n^3} \sum\limits_{{k=1}}^n k^2 e^{\frac{k}{n}}, then find the value of e−Le-L.
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Correct option: A
2
Option A (2) is correct because the limit L is evaluated as a definite integral, and then e-L is calculated.

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